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Finding the Fourth Proportional to 9,868.50, 14,805.33 and 2,943

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Solution

The fourth proportional to 9,868.50, 14,805.33 and 2,943 is: 4,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.50 : 14,805.33 = 2,943 : x
  2. Step 2: Convert to fraction form
    9,868.50/14,805.33 = 2,943/x
  3. Step 3: Cross multiply
    9,868.50x = 14,805.33 × 2,943
  4. Step 4: Simplify right side
    9,868.50x = 43,572,086.19
  5. Step 5: Solve for x
    x = 43,572,086.19/9,868.50
  6. Step 6: Final answer
    x = 4,415.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.